Certificate for #12562 ⟨a, b | abba=aa, babb=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: abba=aa.

Defines rule #3.

Referenced by [4], [5].

Axiom: babb=a.

Defines rule #5.

Referenced by [3], [4], [5].

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Referenced by [6].

Overlap of [1] abba=aa with [2] babb=a:

Critical pair: aba=aabb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [2] babb=a with [1] abba=aa:

Critical pair: baa=aa.

Defines rule #1.

Simplify [3] baba=aabb.

Reduce RHS:

Defines rule #4.